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LaTeX Math Block
anchorCUA5O
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{\rm F}_{\Gamma}(p, {\bf u}) = \left[ a \cdot (p({\bf r}) - p_0) + + \epsilon \cdot {\bf n} \cdot M \,  (\nabla p - \rho \, {\bf g})  \right]_{{\bf r} \in \Gamma} = 0

where

LaTeX Math Inline
body--uriencoded--p(t, %7B\bf r%7D)

reservoir pressure

LaTeX Math Inline
bodyt

time

LaTeX Math Inline
body--uriencoded--\rho(%7B\bf r%7D,p)

fluid density 

LaTeX Math Inline
body--uriencoded--%7B\bf r %7D

position vector

LaTeX Math Inline
bodyM = k / \mu

LaTeX Math Inline
body\nabla

gradient operator

LaTeX Math Inline
bodyk

formation permeability to a given fluid

LaTeX Math Inline
body--uriencoded--%7B \bf g %7D

gravity vector

LaTeX Math Inline
body\mu

dynamic viscosity of a given  fluid

LaTeX Math Inline
body--uriencoded--%7B \bf u %7D

fluid velocity under Darcy flow 



See Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petroleum Geology / Reservoir boundary

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